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Finding the Third Proportional to 105,654.75 and 155,248.50

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Solution

The third proportional to 105,654.75 and 155,248.50 is: 228,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,654.75 : 155,248.50 = 155,248.50 : x
  2. Step 2: Convert to fraction form
    105,654.75/155,248.50 = 155,248.50/x
  3. Step 3: Cross multiply
    105,654.75x = 155,248.50 × 155,248.50
  4. Step 4: Simplify right side
    105,654.75x = 24,102,096,752.25
  5. Step 5: Solve for x
    x = 24,102,096,752.25/105,654.75
  6. Step 6: Final answer
    x = 228,121.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.