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Finding the Third Proportional to 107,545 and 162,775

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Solution

The third proportional to 107,545 and 162,775 is: 246,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,545 : 162,775 = 162,775 : x
  2. Step 2: Convert to fraction form
    107,545/162,775 = 162,775/x
  3. Step 3: Cross multiply
    107,545x = 162,775 × 162,775
  4. Step 4: Simplify right side
    107,545x = 26,495,700,625
  5. Step 5: Solve for x
    x = 26,495,700,625/107,545
  6. Step 6: Final answer
    x = 246,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.