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Finding the Third Proportional to 59,520 and 95,697.50

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Solution

The third proportional to 59,520 and 95,697.50 is: 153,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,520 : 95,697.50 = 95,697.50 : x
  2. Step 2: Convert to fraction form
    59,520/95,697.50 = 95,697.50/x
  3. Step 3: Cross multiply
    59,520x = 95,697.50 × 95,697.50
  4. Step 4: Simplify right side
    59,520x = 9,158,011,506.25
  5. Step 5: Solve for x
    x = 9,158,011,506.25/59,520
  6. Step 6: Final answer
    x = 153,864.44

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.