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Finding the Third Proportional to 78,514.50 and 112,143.50

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Solution

The third proportional to 78,514.50 and 112,143.50 is: 160,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,514.50 : 112,143.50 = 112,143.50 : x
  2. Step 2: Convert to fraction form
    78,514.50/112,143.50 = 112,143.50/x
  3. Step 3: Cross multiply
    78,514.50x = 112,143.50 × 112,143.50
  4. Step 4: Simplify right side
    78,514.50x = 12,576,164,592.25
  5. Step 5: Solve for x
    x = 12,576,164,592.25/78,514.50
  6. Step 6: Final answer
    x = 160,176.33

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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.