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Finding the Third Proportional to 84,375 and 112,468.50

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Solution

The third proportional to 84,375 and 112,468.50 is: 149,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,375 : 112,468.50 = 112,468.50 : x
  2. Step 2: Convert to fraction form
    84,375/112,468.50 = 112,468.50/x
  3. Step 3: Cross multiply
    84,375x = 112,468.50 × 112,468.50
  4. Step 4: Simplify right side
    84,375x = 12,649,163,492.25
  5. Step 5: Solve for x
    x = 12,649,163,492.25/84,375
  6. Step 6: Final answer
    x = 149,916.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.