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Finding the Third Proportional to 60,299 and 88,642

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Solution

The third proportional to 60,299 and 88,642 is: 130,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,299 : 88,642 = 88,642 : x
  2. Step 2: Convert to fraction form
    60,299/88,642 = 88,642/x
  3. Step 3: Cross multiply
    60,299x = 88,642 × 88,642
  4. Step 4: Simplify right side
    60,299x = 7,857,404,164
  5. Step 5: Solve for x
    x = 7,857,404,164/60,299
  6. Step 6: Final answer
    x = 130,307.37

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