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Finding the Third Proportional to 56,878.50 and 83,859

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Solution

The third proportional to 56,878.50 and 83,859 is: 123,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,878.50 : 83,859 = 83,859 : x
  2. Step 2: Convert to fraction form
    56,878.50/83,859 = 83,859/x
  3. Step 3: Cross multiply
    56,878.50x = 83,859 × 83,859
  4. Step 4: Simplify right side
    56,878.50x = 7,032,331,881
  5. Step 5: Solve for x
    x = 7,032,331,881/56,878.50
  6. Step 6: Final answer
    x = 123,637.79

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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.