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Finding the Third Proportional to 118,476 and 187,572

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Solution

The third proportional to 118,476 and 187,572 is: 296,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,476 : 187,572 = 187,572 : x
  2. Step 2: Convert to fraction form
    118,476/187,572 = 187,572/x
  3. Step 3: Cross multiply
    118,476x = 187,572 × 187,572
  4. Step 4: Simplify right side
    118,476x = 35,183,255,184
  5. Step 5: Solve for x
    x = 35,183,255,184/118,476
  6. Step 6: Final answer
    x = 296,965.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.