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Finding the Third Proportional to 61,287 and 83,173.50

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Solution

The third proportional to 61,287 and 83,173.50 is: 112,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,287 : 83,173.50 = 83,173.50 : x
  2. Step 2: Convert to fraction form
    61,287/83,173.50 = 83,173.50/x
  3. Step 3: Cross multiply
    61,287x = 83,173.50 × 83,173.50
  4. Step 4: Simplify right side
    61,287x = 6,917,831,102.25
  5. Step 5: Solve for x
    x = 6,917,831,102.25/61,287
  6. Step 6: Final answer
    x = 112,875.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.