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Finding the Third Proportional to 107,239 and 159,033

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Solution

The third proportional to 107,239 and 159,033 is: 235,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,239 : 159,033 = 159,033 : x
  2. Step 2: Convert to fraction form
    107,239/159,033 = 159,033/x
  3. Step 3: Cross multiply
    107,239x = 159,033 × 159,033
  4. Step 4: Simplify right side
    107,239x = 25,291,495,089
  5. Step 5: Solve for x
    x = 25,291,495,089/107,239
  6. Step 6: Final answer
    x = 235,842.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.