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Finding the Third Proportional to 50,978 and 77,547

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Solution

The third proportional to 50,978 and 77,547 is: 117,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978 : 77,547 = 77,547 : x
  2. Step 2: Convert to fraction form
    50,978/77,547 = 77,547/x
  3. Step 3: Cross multiply
    50,978x = 77,547 × 77,547
  4. Step 4: Simplify right side
    50,978x = 6,013,537,209
  5. Step 5: Solve for x
    x = 6,013,537,209/50,978
  6. Step 6: Final answer
    x = 117,963.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.