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Finding the Third Proportional to 78,492 and 112,098.50

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Solution

The third proportional to 78,492 and 112,098.50 is: 160,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492 : 112,098.50 = 112,098.50 : x
  2. Step 2: Convert to fraction form
    78,492/112,098.50 = 112,098.50/x
  3. Step 3: Cross multiply
    78,492x = 112,098.50 × 112,098.50
  4. Step 4: Simplify right side
    78,492x = 12,566,073,702.25
  5. Step 5: Solve for x
    x = 12,566,073,702.25/78,492
  6. Step 6: Final answer
    x = 160,093.69

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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.