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Finding the Third Proportional to 77,097 and 112,363.88

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Solution

The third proportional to 77,097 and 112,363.88 is: 163,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097 : 112,363.88 = 112,363.88 : x
  2. Step 2: Convert to fraction form
    77,097/112,363.88 = 112,363.88/x
  3. Step 3: Cross multiply
    77,097x = 112,363.88 × 112,363.88
  4. Step 4: Simplify right side
    77,097x = 12,625,640,405.02
  5. Step 5: Solve for x
    x = 12,625,640,405.02/77,097
  6. Step 6: Final answer
    x = 163,763.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.