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Finding the Third Proportional to 61,278 and 93,681

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Solution

The third proportional to 61,278 and 93,681 is: 143,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,278 : 93,681 = 93,681 : x
  2. Step 2: Convert to fraction form
    61,278/93,681 = 93,681/x
  3. Step 3: Cross multiply
    61,278x = 93,681 × 93,681
  4. Step 4: Simplify right side
    61,278x = 8,776,129,761
  5. Step 5: Solve for x
    x = 8,776,129,761/61,278
  6. Step 6: Final answer
    x = 143,218.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.