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Finding the Third Proportional to 56,376 and 121,768

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Solution

The third proportional to 56,376 and 121,768 is: 263,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,376 : 121,768 = 121,768 : x
  2. Step 2: Convert to fraction form
    56,376/121,768 = 121,768/x
  3. Step 3: Cross multiply
    56,376x = 121,768 × 121,768
  4. Step 4: Simplify right side
    56,376x = 14,827,445,824
  5. Step 5: Solve for x
    x = 14,827,445,824/56,376
  6. Step 6: Final answer
    x = 263,009.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.