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Finding the Third Proportional to 118,791 and 185,962.50

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Solution

The third proportional to 118,791 and 185,962.50 is: 291,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,791 : 185,962.50 = 185,962.50 : x
  2. Step 2: Convert to fraction form
    118,791/185,962.50 = 185,962.50/x
  3. Step 3: Cross multiply
    118,791x = 185,962.50 × 185,962.50
  4. Step 4: Simplify right side
    118,791x = 34,582,051,406.25
  5. Step 5: Solve for x
    x = 34,582,051,406.25/118,791
  6. Step 6: Final answer
    x = 291,116.76

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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.