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Finding the Third Proportional to 55,953 and 109,070

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Solution

The third proportional to 55,953 and 109,070 is: 212,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,953 : 109,070 = 109,070 : x
  2. Step 2: Convert to fraction form
    55,953/109,070 = 109,070/x
  3. Step 3: Cross multiply
    55,953x = 109,070 × 109,070
  4. Step 4: Simplify right side
    55,953x = 11,896,264,900
  5. Step 5: Solve for x
    x = 11,896,264,900/55,953
  6. Step 6: Final answer
    x = 212,611.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.