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Finding the Third Proportional to 61,026 and 125,971.50

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Solution

The third proportional to 61,026 and 125,971.50 is: 260,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,026 : 125,971.50 = 125,971.50 : x
  2. Step 2: Convert to fraction form
    61,026/125,971.50 = 125,971.50/x
  3. Step 3: Cross multiply
    61,026x = 125,971.50 × 125,971.50
  4. Step 4: Simplify right side
    61,026x = 15,868,818,812.25
  5. Step 5: Solve for x
    x = 15,868,818,812.25/61,026
  6. Step 6: Final answer
    x = 260,033.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.