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Finding the Third Proportional to 102,532 and 137,958

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Solution

The third proportional to 102,532 and 137,958 is: 185,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532 : 137,958 = 137,958 : x
  2. Step 2: Convert to fraction form
    102,532/137,958 = 137,958/x
  3. Step 3: Cross multiply
    102,532x = 137,958 × 137,958
  4. Step 4: Simplify right side
    102,532x = 19,032,409,764
  5. Step 5: Solve for x
    x = 19,032,409,764/102,532
  6. Step 6: Final answer
    x = 185,624.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.