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Finding the Third Proportional to 45,324 and 83,196

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Solution

The third proportional to 45,324 and 83,196 is: 152,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,324 : 83,196 = 83,196 : x
  2. Step 2: Convert to fraction form
    45,324/83,196 = 83,196/x
  3. Step 3: Cross multiply
    45,324x = 83,196 × 83,196
  4. Step 4: Simplify right side
    45,324x = 6,921,574,416
  5. Step 5: Solve for x
    x = 6,921,574,416/45,324
  6. Step 6: Final answer
    x = 152,713.23

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.