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Finding the Third Proportional to 118,113.19 and 181,543.78

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Solution

The third proportional to 118,113.19 and 181,543.78 is: 279,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,113.19 : 181,543.78 = 181,543.78 : x
  2. Step 2: Convert to fraction form
    118,113.19/181,543.78 = 181,543.78/x
  3. Step 3: Cross multiply
    118,113.19x = 181,543.78 × 181,543.78
  4. Step 4: Simplify right side
    118,113.19x = 32,958,144,510.55
  5. Step 5: Solve for x
    x = 32,958,144,510.55/118,113.19
  6. Step 6: Final answer
    x = 279,038.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.