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Finding the Third Proportional to 92,952 and 124,896

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Solution

The third proportional to 92,952 and 124,896 is: 167,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,952 : 124,896 = 124,896 : x
  2. Step 2: Convert to fraction form
    92,952/124,896 = 124,896/x
  3. Step 3: Cross multiply
    92,952x = 124,896 × 124,896
  4. Step 4: Simplify right side
    92,952x = 15,599,010,816
  5. Step 5: Solve for x
    x = 15,599,010,816/92,952
  6. Step 6: Final answer
    x = 167,817.91

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.