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Finding the Third Proportional to 97,500 and 142,557

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Solution

The third proportional to 97,500 and 142,557 is: 208,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,500 : 142,557 = 142,557 : x
  2. Step 2: Convert to fraction form
    97,500/142,557 = 142,557/x
  3. Step 3: Cross multiply
    97,500x = 142,557 × 142,557
  4. Step 4: Simplify right side
    97,500x = 20,322,498,249
  5. Step 5: Solve for x
    x = 20,322,498,249/97,500
  6. Step 6: Final answer
    x = 208,435.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.