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Finding the Third Proportional to 56,116.50 and 124,689

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Solution

The third proportional to 56,116.50 and 124,689 is: 277,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,116.50 : 124,689 = 124,689 : x
  2. Step 2: Convert to fraction form
    56,116.50/124,689 = 124,689/x
  3. Step 3: Cross multiply
    56,116.50x = 124,689 × 124,689
  4. Step 4: Simplify right side
    56,116.50x = 15,547,346,721
  5. Step 5: Solve for x
    x = 15,547,346,721/56,116.50
  6. Step 6: Final answer
    x = 277,054.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.