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Finding the Third Proportional to 90,729 and 118,597.50

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Solution

The third proportional to 90,729 and 118,597.50 is: 155,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,729 : 118,597.50 = 118,597.50 : x
  2. Step 2: Convert to fraction form
    90,729/118,597.50 = 118,597.50/x
  3. Step 3: Cross multiply
    90,729x = 118,597.50 × 118,597.50
  4. Step 4: Simplify right side
    90,729x = 14,065,367,006.25
  5. Step 5: Solve for x
    x = 14,065,367,006.25/90,729
  6. Step 6: Final answer
    x = 155,026.14

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.