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Finding the Third Proportional to 45,312 and 99,264

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Solution

The third proportional to 45,312 and 99,264 is: 217,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 99,264 = 99,264 : x
  2. Step 2: Convert to fraction form
    45,312/99,264 = 99,264/x
  3. Step 3: Cross multiply
    45,312x = 99,264 × 99,264
  4. Step 4: Simplify right side
    45,312x = 9,853,341,696
  5. Step 5: Solve for x
    x = 9,853,341,696/45,312
  6. Step 6: Final answer
    x = 217,455.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.