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Finding the Third Proportional to 78,484 and 100,773.50

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Solution

The third proportional to 78,484 and 100,773.50 is: 129,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484 : 100,773.50 = 100,773.50 : x
  2. Step 2: Convert to fraction form
    78,484/100,773.50 = 100,773.50/x
  3. Step 3: Cross multiply
    78,484x = 100,773.50 × 100,773.50
  4. Step 4: Simplify right side
    78,484x = 10,155,298,302.25
  5. Step 5: Solve for x
    x = 10,155,298,302.25/78,484
  6. Step 6: Final answer
    x = 129,393.23

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.