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Finding the Third Proportional to 51,510.50 and 77,987.50

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Solution

The third proportional to 51,510.50 and 77,987.50 is: 118,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,510.50 : 77,987.50 = 77,987.50 : x
  2. Step 2: Convert to fraction form
    51,510.50/77,987.50 = 77,987.50/x
  3. Step 3: Cross multiply
    51,510.50x = 77,987.50 × 77,987.50
  4. Step 4: Simplify right side
    51,510.50x = 6,082,050,156.25
  5. Step 5: Solve for x
    x = 6,082,050,156.25/51,510.50
  6. Step 6: Final answer
    x = 118,073.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.