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Finding the Third Proportional to 60,364 and 88,386

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Solution

The third proportional to 60,364 and 88,386 is: 129,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,364 : 88,386 = 88,386 : x
  2. Step 2: Convert to fraction form
    60,364/88,386 = 88,386/x
  3. Step 3: Cross multiply
    60,364x = 88,386 × 88,386
  4. Step 4: Simplify right side
    60,364x = 7,812,084,996
  5. Step 5: Solve for x
    x = 7,812,084,996/60,364
  6. Step 6: Final answer
    x = 129,416.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.