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Finding the Third Proportional to 62,572 and 136,160

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Solution

The third proportional to 62,572 and 136,160 is: 296,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,572 : 136,160 = 136,160 : x
  2. Step 2: Convert to fraction form
    62,572/136,160 = 136,160/x
  3. Step 3: Cross multiply
    62,572x = 136,160 × 136,160
  4. Step 4: Simplify right side
    62,572x = 18,539,545,600
  5. Step 5: Solve for x
    x = 18,539,545,600/62,572
  6. Step 6: Final answer
    x = 296,291.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.