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Finding the Third Proportional to 59,970 and 88,010

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Solution

The third proportional to 59,970 and 88,010 is: 129,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,970 : 88,010 = 88,010 : x
  2. Step 2: Convert to fraction form
    59,970/88,010 = 88,010/x
  3. Step 3: Cross multiply
    59,970x = 88,010 × 88,010
  4. Step 4: Simplify right side
    59,970x = 7,745,760,100
  5. Step 5: Solve for x
    x = 7,745,760,100/59,970
  6. Step 6: Final answer
    x = 129,160.58

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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.