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Finding the Third Proportional to 53,748 and 117,684

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Solution

The third proportional to 53,748 and 117,684 is: 257,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,748 : 117,684 = 117,684 : x
  2. Step 2: Convert to fraction form
    53,748/117,684 = 117,684/x
  3. Step 3: Cross multiply
    53,748x = 117,684 × 117,684
  4. Step 4: Simplify right side
    53,748x = 13,849,523,856
  5. Step 5: Solve for x
    x = 13,849,523,856/53,748
  6. Step 6: Final answer
    x = 257,675.15

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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.