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Finding the Third Proportional to 99,312.19 and 127,513.13

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Solution

The third proportional to 99,312.19 and 127,513.13 is: 163,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312.19 : 127,513.13 = 127,513.13 : x
  2. Step 2: Convert to fraction form
    99,312.19/127,513.13 = 127,513.13/x
  3. Step 3: Cross multiply
    99,312.19x = 127,513.13 × 127,513.13
  4. Step 4: Simplify right side
    99,312.19x = 16,259,597,047.27
  5. Step 5: Solve for x
    x = 16,259,597,047.27/99,312.19
  6. Step 6: Final answer
    x = 163,722.07

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.