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Finding the Third Proportional to 78,368.50 and 112,024.50

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Solution

The third proportional to 78,368.50 and 112,024.50 is: 160,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.50 : 112,024.50 = 112,024.50 : x
  2. Step 2: Convert to fraction form
    78,368.50/112,024.50 = 112,024.50/x
  3. Step 3: Cross multiply
    78,368.50x = 112,024.50 × 112,024.50
  4. Step 4: Simplify right side
    78,368.50x = 12,549,488,600.25
  5. Step 5: Solve for x
    x = 12,549,488,600.25/78,368.50
  6. Step 6: Final answer
    x = 160,134.35

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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.