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Finding the Third Proportional to 62,488 and 89,295

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Solution

The third proportional to 62,488 and 89,295 is: 127,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,488 : 89,295 = 89,295 : x
  2. Step 2: Convert to fraction form
    62,488/89,295 = 89,295/x
  3. Step 3: Cross multiply
    62,488x = 89,295 × 89,295
  4. Step 4: Simplify right side
    62,488x = 7,973,597,025
  5. Step 5: Solve for x
    x = 7,973,597,025/62,488
  6. Step 6: Final answer
    x = 127,602.05

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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.