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Finding the Third Proportional to 40,970 and 86,060

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Solution

The third proportional to 40,970 and 86,060 is: 180,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970 : 86,060 = 86,060 : x
  2. Step 2: Convert to fraction form
    40,970/86,060 = 86,060/x
  3. Step 3: Cross multiply
    40,970x = 86,060 × 86,060
  4. Step 4: Simplify right side
    40,970x = 7,406,323,600
  5. Step 5: Solve for x
    x = 7,406,323,600/40,970
  6. Step 6: Final answer
    x = 180,774.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.