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Finding the Third Proportional to 61,050 and 130,862

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Solution

The third proportional to 61,050 and 130,862 is: 280,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,050 : 130,862 = 130,862 : x
  2. Step 2: Convert to fraction form
    61,050/130,862 = 130,862/x
  3. Step 3: Cross multiply
    61,050x = 130,862 × 130,862
  4. Step 4: Simplify right side
    61,050x = 17,124,863,044
  5. Step 5: Solve for x
    x = 17,124,863,044/61,050
  6. Step 6: Final answer
    x = 280,505.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.