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Finding the Third Proportional to 52,531 and 77,068.50

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Solution

The third proportional to 52,531 and 77,068.50 is: 113,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,531 : 77,068.50 = 77,068.50 : x
  2. Step 2: Convert to fraction form
    52,531/77,068.50 = 77,068.50/x
  3. Step 3: Cross multiply
    52,531x = 77,068.50 × 77,068.50
  4. Step 4: Simplify right side
    52,531x = 5,939,553,692.25
  5. Step 5: Solve for x
    x = 5,939,553,692.25/52,531
  6. Step 6: Final answer
    x = 113,067.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.