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Finding the Third Proportional to 132,502 and 196,952

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Solution

The third proportional to 132,502 and 196,952 is: 292,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,502 : 196,952 = 196,952 : x
  2. Step 2: Convert to fraction form
    132,502/196,952 = 196,952/x
  3. Step 3: Cross multiply
    132,502x = 196,952 × 196,952
  4. Step 4: Simplify right side
    132,502x = 38,790,090,304
  5. Step 5: Solve for x
    x = 38,790,090,304/132,502
  6. Step 6: Final answer
    x = 292,750.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.