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Finding the Third Proportional to 113,572 and 241,712

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Solution

The third proportional to 113,572 and 241,712 is: 514,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,572 : 241,712 = 241,712 : x
  2. Step 2: Convert to fraction form
    113,572/241,712 = 241,712/x
  3. Step 3: Cross multiply
    113,572x = 241,712 × 241,712
  4. Step 4: Simplify right side
    113,572x = 58,424,690,944
  5. Step 5: Solve for x
    x = 58,424,690,944/113,572
  6. Step 6: Final answer
    x = 514,428.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.