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Finding the Third Proportional to 94,102 and 141,139

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Solution

The third proportional to 94,102 and 141,139 is: 211,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,102 : 141,139 = 141,139 : x
  2. Step 2: Convert to fraction form
    94,102/141,139 = 141,139/x
  3. Step 3: Cross multiply
    94,102x = 141,139 × 141,139
  4. Step 4: Simplify right side
    94,102x = 19,920,217,321
  5. Step 5: Solve for x
    x = 19,920,217,321/94,102
  6. Step 6: Final answer
    x = 211,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.