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Finding the Third Proportional to 62,315 and 133,487

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Solution

The third proportional to 62,315 and 133,487 is: 285,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,315 : 133,487 = 133,487 : x
  2. Step 2: Convert to fraction form
    62,315/133,487 = 133,487/x
  3. Step 3: Cross multiply
    62,315x = 133,487 × 133,487
  4. Step 4: Simplify right side
    62,315x = 17,818,779,169
  5. Step 5: Solve for x
    x = 17,818,779,169/62,315
  6. Step 6: Final answer
    x = 285,946.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.