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Finding the Third Proportional to 134,925.75 and 259,281

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Solution

The third proportional to 134,925.75 and 259,281 is: 498,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,925.75 : 259,281 = 259,281 : x
  2. Step 2: Convert to fraction form
    134,925.75/259,281 = 259,281/x
  3. Step 3: Cross multiply
    134,925.75x = 259,281 × 259,281
  4. Step 4: Simplify right side
    134,925.75x = 67,226,636,961
  5. Step 5: Solve for x
    x = 67,226,636,961/134,925.75
  6. Step 6: Final answer
    x = 498,249.13

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.