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Finding the Third Proportional to 56,386 and 121,278

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Solution

The third proportional to 56,386 and 121,278 is: 260,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386 : 121,278 = 121,278 : x
  2. Step 2: Convert to fraction form
    56,386/121,278 = 121,278/x
  3. Step 3: Cross multiply
    56,386x = 121,278 × 121,278
  4. Step 4: Simplify right side
    56,386x = 14,708,353,284
  5. Step 5: Solve for x
    x = 14,708,353,284/56,386
  6. Step 6: Final answer
    x = 260,851.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.