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Finding the Third Proportional to 61,746 and 93,951

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Solution

The third proportional to 61,746 and 93,951 is: 142,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,746 : 93,951 = 93,951 : x
  2. Step 2: Convert to fraction form
    61,746/93,951 = 93,951/x
  3. Step 3: Cross multiply
    61,746x = 93,951 × 93,951
  4. Step 4: Simplify right side
    61,746x = 8,826,790,401
  5. Step 5: Solve for x
    x = 8,826,790,401/61,746
  6. Step 6: Final answer
    x = 142,953.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.