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Finding the Third Proportional to 53,657 and 116,541

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Solution

The third proportional to 53,657 and 116,541 is: 253,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657 : 116,541 = 116,541 : x
  2. Step 2: Convert to fraction form
    53,657/116,541 = 116,541/x
  3. Step 3: Cross multiply
    53,657x = 116,541 × 116,541
  4. Step 4: Simplify right side
    53,657x = 13,581,804,681
  5. Step 5: Solve for x
    x = 13,581,804,681/53,657
  6. Step 6: Final answer
    x = 253,122.70

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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.