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Finding the Third Proportional to 58,417.13 and 87,527.06

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Solution

The third proportional to 58,417.13 and 87,527.06 is: 131,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,417.13 : 87,527.06 = 87,527.06 : x
  2. Step 2: Convert to fraction form
    58,417.13/87,527.06 = 87,527.06/x
  3. Step 3: Cross multiply
    58,417.13x = 87,527.06 × 87,527.06
  4. Step 4: Simplify right side
    58,417.13x = 7,660,986,669.88
  5. Step 5: Solve for x
    x = 7,660,986,669.88/58,417.13
  6. Step 6: Final answer
    x = 131,142.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.