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Finding the Third Proportional to 56,386 and 124,435

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Solution

The third proportional to 56,386 and 124,435 is: 274,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386 : 124,435 = 124,435 : x
  2. Step 2: Convert to fraction form
    56,386/124,435 = 124,435/x
  3. Step 3: Cross multiply
    56,386x = 124,435 × 124,435
  4. Step 4: Simplify right side
    56,386x = 15,484,069,225
  5. Step 5: Solve for x
    x = 15,484,069,225/56,386
  6. Step 6: Final answer
    x = 274,608.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.