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Finding the Third Proportional to 55,672 and 114,076

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Solution

The third proportional to 55,672 and 114,076 is: 233,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,672 : 114,076 = 114,076 : x
  2. Step 2: Convert to fraction form
    55,672/114,076 = 114,076/x
  3. Step 3: Cross multiply
    55,672x = 114,076 × 114,076
  4. Step 4: Simplify right side
    55,672x = 13,013,333,776
  5. Step 5: Solve for x
    x = 13,013,333,776/55,672
  6. Step 6: Final answer
    x = 233,750.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.