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Finding the Third Proportional to 102,125.25 and 155,347.88

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Solution

The third proportional to 102,125.25 and 155,347.88 is: 236,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.25 : 155,347.88 = 155,347.88 : x
  2. Step 2: Convert to fraction form
    102,125.25/155,347.88 = 155,347.88/x
  3. Step 3: Cross multiply
    102,125.25x = 155,347.88 × 155,347.88
  4. Step 4: Simplify right side
    102,125.25x = 24,132,962,267.02
  5. Step 5: Solve for x
    x = 24,132,962,267.02/102,125.25
  6. Step 6: Final answer
    x = 236,307.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.