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Finding the Third Proportional to 42,370 and 62,257

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Solution

The third proportional to 42,370 and 62,257 is: 91,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,370 : 62,257 = 62,257 : x
  2. Step 2: Convert to fraction form
    42,370/62,257 = 62,257/x
  3. Step 3: Cross multiply
    42,370x = 62,257 × 62,257
  4. Step 4: Simplify right side
    42,370x = 3,875,934,049
  5. Step 5: Solve for x
    x = 3,875,934,049/42,370
  6. Step 6: Final answer
    x = 91,478.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.