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Finding the Third Proportional to 53,114 and 77,478

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Solution

The third proportional to 53,114 and 77,478 is: 113,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114 : 77,478 = 77,478 : x
  2. Step 2: Convert to fraction form
    53,114/77,478 = 77,478/x
  3. Step 3: Cross multiply
    53,114x = 77,478 × 77,478
  4. Step 4: Simplify right side
    53,114x = 6,002,840,484
  5. Step 5: Solve for x
    x = 6,002,840,484/53,114
  6. Step 6: Final answer
    x = 113,018.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.