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Finding the Third Proportional to 58,507.31 and 83,666.25

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Solution

The third proportional to 58,507.31 and 83,666.25 is: 119,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,507.31 : 83,666.25 = 83,666.25 : x
  2. Step 2: Convert to fraction form
    58,507.31/83,666.25 = 83,666.25/x
  3. Step 3: Cross multiply
    58,507.31x = 83,666.25 × 83,666.25
  4. Step 4: Simplify right side
    58,507.31x = 7,000,041,389.06
  5. Step 5: Solve for x
    x = 7,000,041,389.06/58,507.31
  6. Step 6: Final answer
    x = 119,643.87

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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.