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Finding the Third Proportional to 57,641 and 86,095

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Solution

The third proportional to 57,641 and 86,095 is: 128,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641 : 86,095 = 86,095 : x
  2. Step 2: Convert to fraction form
    57,641/86,095 = 86,095/x
  3. Step 3: Cross multiply
    57,641x = 86,095 × 86,095
  4. Step 4: Simplify right side
    57,641x = 7,412,349,025
  5. Step 5: Solve for x
    x = 7,412,349,025/57,641
  6. Step 6: Final answer
    x = 128,595.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.