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Finding the Third Proportional to 78,287 and 111,915.50

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Solution

The third proportional to 78,287 and 111,915.50 is: 159,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287 : 111,915.50 = 111,915.50 : x
  2. Step 2: Convert to fraction form
    78,287/111,915.50 = 111,915.50/x
  3. Step 3: Cross multiply
    78,287x = 111,915.50 × 111,915.50
  4. Step 4: Simplify right side
    78,287x = 12,525,079,140.25
  5. Step 5: Solve for x
    x = 12,525,079,140.25/78,287
  6. Step 6: Final answer
    x = 159,989.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.