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Finding the Third Proportional to 59,114 and 86,943

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Solution

The third proportional to 59,114 and 86,943 is: 127,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,114 : 86,943 = 86,943 : x
  2. Step 2: Convert to fraction form
    59,114/86,943 = 86,943/x
  3. Step 3: Cross multiply
    59,114x = 86,943 × 86,943
  4. Step 4: Simplify right side
    59,114x = 7,559,085,249
  5. Step 5: Solve for x
    x = 7,559,085,249/59,114
  6. Step 6: Final answer
    x = 127,873.01

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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.