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Finding the Third Proportional to 56,669 and 124,237

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Solution

The third proportional to 56,669 and 124,237 is: 272,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,669 : 124,237 = 124,237 : x
  2. Step 2: Convert to fraction form
    56,669/124,237 = 124,237/x
  3. Step 3: Cross multiply
    56,669x = 124,237 × 124,237
  4. Step 4: Simplify right side
    56,669x = 15,434,832,169
  5. Step 5: Solve for x
    x = 15,434,832,169/56,669
  6. Step 6: Final answer
    x = 272,368.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.