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Finding the Third Proportional to 103,248 and 156,836.25

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Solution

The third proportional to 103,248 and 156,836.25 is: 238,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,248 : 156,836.25 = 156,836.25 : x
  2. Step 2: Convert to fraction form
    103,248/156,836.25 = 156,836.25/x
  3. Step 3: Cross multiply
    103,248x = 156,836.25 × 156,836.25
  4. Step 4: Simplify right side
    103,248x = 24,597,609,314.06
  5. Step 5: Solve for x
    x = 24,597,609,314.06/103,248
  6. Step 6: Final answer
    x = 238,238.12

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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.