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Finding the Third Proportional to 75,345 and 113,784

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Solution

The third proportional to 75,345 and 113,784 is: 171,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,345 : 113,784 = 113,784 : x
  2. Step 2: Convert to fraction form
    75,345/113,784 = 113,784/x
  3. Step 3: Cross multiply
    75,345x = 113,784 × 113,784
  4. Step 4: Simplify right side
    75,345x = 12,946,798,656
  5. Step 5: Solve for x
    x = 12,946,798,656/75,345
  6. Step 6: Final answer
    x = 171,833.55

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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.