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Finding the Third Proportional to 55,312 and 83,364

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Solution

The third proportional to 55,312 and 83,364 is: 125,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,312 : 83,364 = 83,364 : x
  2. Step 2: Convert to fraction form
    55,312/83,364 = 83,364/x
  3. Step 3: Cross multiply
    55,312x = 83,364 × 83,364
  4. Step 4: Simplify right side
    55,312x = 6,949,556,496
  5. Step 5: Solve for x
    x = 6,949,556,496/55,312
  6. Step 6: Final answer
    x = 125,642.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.