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Finding the Third Proportional to 115,292 and 174,473

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Solution

The third proportional to 115,292 and 174,473 is: 264,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,292 : 174,473 = 174,473 : x
  2. Step 2: Convert to fraction form
    115,292/174,473 = 174,473/x
  3. Step 3: Cross multiply
    115,292x = 174,473 × 174,473
  4. Step 4: Simplify right side
    115,292x = 30,440,827,729
  5. Step 5: Solve for x
    x = 30,440,827,729/115,292
  6. Step 6: Final answer
    x = 264,032.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.