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Finding the Third Proportional to 53,557 and 116,332

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Solution

The third proportional to 53,557 and 116,332 is: 252,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,557 : 116,332 = 116,332 : x
  2. Step 2: Convert to fraction form
    53,557/116,332 = 116,332/x
  3. Step 3: Cross multiply
    53,557x = 116,332 × 116,332
  4. Step 4: Simplify right side
    53,557x = 13,533,134,224
  5. Step 5: Solve for x
    x = 13,533,134,224/53,557
  6. Step 6: Final answer
    x = 252,686.56

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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.