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Finding the Third Proportional to 105,417 and 157,959

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Solution

The third proportional to 105,417 and 157,959 is: 236,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417 : 157,959 = 157,959 : x
  2. Step 2: Convert to fraction form
    105,417/157,959 = 157,959/x
  3. Step 3: Cross multiply
    105,417x = 157,959 × 157,959
  4. Step 4: Simplify right side
    105,417x = 24,951,045,681
  5. Step 5: Solve for x
    x = 24,951,045,681/105,417
  6. Step 6: Final answer
    x = 236,689.01

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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.