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Finding the Third Proportional to 58,460 and 88,418

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Solution

The third proportional to 58,460 and 88,418 is: 133,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,460 : 88,418 = 88,418 : x
  2. Step 2: Convert to fraction form
    58,460/88,418 = 88,418/x
  3. Step 3: Cross multiply
    58,460x = 88,418 × 88,418
  4. Step 4: Simplify right side
    58,460x = 7,817,742,724
  5. Step 5: Solve for x
    x = 7,817,742,724/58,460
  6. Step 6: Final answer
    x = 133,728.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.