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Finding the Third Proportional to 51,924 and 77,798

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Solution

The third proportional to 51,924 and 77,798 is: 116,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,924 : 77,798 = 77,798 : x
  2. Step 2: Convert to fraction form
    51,924/77,798 = 77,798/x
  3. Step 3: Cross multiply
    51,924x = 77,798 × 77,798
  4. Step 4: Simplify right side
    51,924x = 6,052,528,804
  5. Step 5: Solve for x
    x = 6,052,528,804/51,924
  6. Step 6: Final answer
    x = 116,565.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.