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Finding the Third Proportional to 57,076 and 117,784

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Solution

The third proportional to 57,076 and 117,784 is: 243,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076 : 117,784 = 117,784 : x
  2. Step 2: Convert to fraction form
    57,076/117,784 = 117,784/x
  3. Step 3: Cross multiply
    57,076x = 117,784 × 117,784
  4. Step 4: Simplify right side
    57,076x = 13,873,070,656
  5. Step 5: Solve for x
    x = 13,873,070,656/57,076
  6. Step 6: Final answer
    x = 243,063.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.