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Finding the Third Proportional to 77,316 and 118,470

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Solution

The third proportional to 77,316 and 118,470 is: 181,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,316 : 118,470 = 118,470 : x
  2. Step 2: Convert to fraction form
    77,316/118,470 = 118,470/x
  3. Step 3: Cross multiply
    77,316x = 118,470 × 118,470
  4. Step 4: Simplify right side
    77,316x = 14,035,140,900
  5. Step 5: Solve for x
    x = 14,035,140,900/77,316
  6. Step 6: Final answer
    x = 181,529.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.