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Finding the Third Proportional to 55,358 and 114,657

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Solution

The third proportional to 55,358 and 114,657 is: 237,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358 : 114,657 = 114,657 : x
  2. Step 2: Convert to fraction form
    55,358/114,657 = 114,657/x
  3. Step 3: Cross multiply
    55,358x = 114,657 × 114,657
  4. Step 4: Simplify right side
    55,358x = 13,146,227,649
  5. Step 5: Solve for x
    x = 13,146,227,649/55,358
  6. Step 6: Final answer
    x = 237,476.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.