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Finding the Third Proportional to 87,526.50 and 124,979.50

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Solution

The third proportional to 87,526.50 and 124,979.50 is: 178,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,526.50 : 124,979.50 = 124,979.50 : x
  2. Step 2: Convert to fraction form
    87,526.50/124,979.50 = 124,979.50/x
  3. Step 3: Cross multiply
    87,526.50x = 124,979.50 × 124,979.50
  4. Step 4: Simplify right side
    87,526.50x = 15,619,875,420.25
  5. Step 5: Solve for x
    x = 15,619,875,420.25/87,526.50
  6. Step 6: Final answer
    x = 178,458.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.