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Finding the Third Proportional to 107,246 and 169,959

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Solution

The third proportional to 107,246 and 169,959 is: 269,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,246 : 169,959 = 169,959 : x
  2. Step 2: Convert to fraction form
    107,246/169,959 = 169,959/x
  3. Step 3: Cross multiply
    107,246x = 169,959 × 169,959
  4. Step 4: Simplify right side
    107,246x = 28,886,061,681
  5. Step 5: Solve for x
    x = 28,886,061,681/107,246
  6. Step 6: Final answer
    x = 269,343.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.