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Finding the Third Proportional to 53,484 and 116,040

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Solution

The third proportional to 53,484 and 116,040 is: 251,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484 : 116,040 = 116,040 : x
  2. Step 2: Convert to fraction form
    53,484/116,040 = 116,040/x
  3. Step 3: Cross multiply
    53,484x = 116,040 × 116,040
  4. Step 4: Simplify right side
    53,484x = 13,465,281,600
  5. Step 5: Solve for x
    x = 13,465,281,600/53,484
  6. Step 6: Final answer
    x = 251,762.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.