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Finding the Third Proportional to 25,157 and 53,309

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Solution

The third proportional to 25,157 and 53,309 is: 112,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157 : 53,309 = 53,309 : x
  2. Step 2: Convert to fraction form
    25,157/53,309 = 53,309/x
  3. Step 3: Cross multiply
    25,157x = 53,309 × 53,309
  4. Step 4: Simplify right side
    25,157x = 2,841,849,481
  5. Step 5: Solve for x
    x = 2,841,849,481/25,157
  6. Step 6: Final answer
    x = 112,964.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.