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Finding the Third Proportional to 88,805 and 125,070.50

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Solution

The third proportional to 88,805 and 125,070.50 is: 176,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,805 : 125,070.50 = 125,070.50 : x
  2. Step 2: Convert to fraction form
    88,805/125,070.50 = 125,070.50/x
  3. Step 3: Cross multiply
    88,805x = 125,070.50 × 125,070.50
  4. Step 4: Simplify right side
    88,805x = 15,642,629,970.25
  5. Step 5: Solve for x
    x = 15,642,629,970.25/88,805
  6. Step 6: Final answer
    x = 176,145.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.