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Finding the Third Proportional to 86,524 and 110,560

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Solution

The third proportional to 86,524 and 110,560 is: 141,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,524 : 110,560 = 110,560 : x
  2. Step 2: Convert to fraction form
    86,524/110,560 = 110,560/x
  3. Step 3: Cross multiply
    86,524x = 110,560 × 110,560
  4. Step 4: Simplify right side
    86,524x = 12,223,513,600
  5. Step 5: Solve for x
    x = 12,223,513,600/86,524
  6. Step 6: Final answer
    x = 141,273.10

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.