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Finding the Third Proportional to 103,985 and 155,282.50

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Solution

The third proportional to 103,985 and 155,282.50 is: 231,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,985 : 155,282.50 = 155,282.50 : x
  2. Step 2: Convert to fraction form
    103,985/155,282.50 = 155,282.50/x
  3. Step 3: Cross multiply
    103,985x = 155,282.50 × 155,282.50
  4. Step 4: Simplify right side
    103,985x = 24,112,654,806.25
  5. Step 5: Solve for x
    x = 24,112,654,806.25/103,985
  6. Step 6: Final answer
    x = 231,885.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.