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Finding the Third Proportional to 73,160 and 106,952

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Solution

The third proportional to 73,160 and 106,952 is: 156,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,160 : 106,952 = 106,952 : x
  2. Step 2: Convert to fraction form
    73,160/106,952 = 106,952/x
  3. Step 3: Cross multiply
    73,160x = 106,952 × 106,952
  4. Step 4: Simplify right side
    73,160x = 11,438,730,304
  5. Step 5: Solve for x
    x = 11,438,730,304/73,160
  6. Step 6: Final answer
    x = 156,352.25

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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.