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Finding the Third Proportional to 62,871 and 136,798

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Solution

The third proportional to 62,871 and 136,798 is: 297,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,871 : 136,798 = 136,798 : x
  2. Step 2: Convert to fraction form
    62,871/136,798 = 136,798/x
  3. Step 3: Cross multiply
    62,871x = 136,798 × 136,798
  4. Step 4: Simplify right side
    62,871x = 18,713,692,804
  5. Step 5: Solve for x
    x = 18,713,692,804/62,871
  6. Step 6: Final answer
    x = 297,652.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.