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Finding the Third Proportional to 48,756.50 and 77,365

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Solution

The third proportional to 48,756.50 and 77,365 is: 122,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,756.50 : 77,365 = 77,365 : x
  2. Step 2: Convert to fraction form
    48,756.50/77,365 = 77,365/x
  3. Step 3: Cross multiply
    48,756.50x = 77,365 × 77,365
  4. Step 4: Simplify right side
    48,756.50x = 5,985,343,225
  5. Step 5: Solve for x
    x = 5,985,343,225/48,756.50
  6. Step 6: Final answer
    x = 122,759.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.