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Finding the Third Proportional to 97,074 and 152,311.50

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Solution

The third proportional to 97,074 and 152,311.50 is: 238,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,074 : 152,311.50 = 152,311.50 : x
  2. Step 2: Convert to fraction form
    97,074/152,311.50 = 152,311.50/x
  3. Step 3: Cross multiply
    97,074x = 152,311.50 × 152,311.50
  4. Step 4: Simplify right side
    97,074x = 23,198,793,032.25
  5. Step 5: Solve for x
    x = 23,198,793,032.25/97,074
  6. Step 6: Final answer
    x = 238,980.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.