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Finding the Third Proportional to 60,359 and 86,188.50

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Solution

The third proportional to 60,359 and 86,188.50 is: 123,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,359 : 86,188.50 = 86,188.50 : x
  2. Step 2: Convert to fraction form
    60,359/86,188.50 = 86,188.50/x
  3. Step 3: Cross multiply
    60,359x = 86,188.50 × 86,188.50
  4. Step 4: Simplify right side
    60,359x = 7,428,457,532.25
  5. Step 5: Solve for x
    x = 7,428,457,532.25/60,359
  6. Step 6: Final answer
    x = 123,071.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.