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Finding the Third Proportional to 105,750 and 162,533

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Solution

The third proportional to 105,750 and 162,533 is: 249,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750 : 162,533 = 162,533 : x
  2. Step 2: Convert to fraction form
    105,750/162,533 = 162,533/x
  3. Step 3: Cross multiply
    105,750x = 162,533 × 162,533
  4. Step 4: Simplify right side
    105,750x = 26,416,976,089
  5. Step 5: Solve for x
    x = 26,416,976,089/105,750
  6. Step 6: Final answer
    x = 249,805.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.