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Finding the Third Proportional to 114,392 and 172,488

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Solution

The third proportional to 114,392 and 172,488 is: 260,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,392 : 172,488 = 172,488 : x
  2. Step 2: Convert to fraction form
    114,392/172,488 = 172,488/x
  3. Step 3: Cross multiply
    114,392x = 172,488 × 172,488
  4. Step 4: Simplify right side
    114,392x = 29,752,110,144
  5. Step 5: Solve for x
    x = 29,752,110,144/114,392
  6. Step 6: Final answer
    x = 260,089.08

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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.