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Finding the Third Proportional to 99,324 and 127,527

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Solution

The third proportional to 99,324 and 127,527 is: 163,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,324 : 127,527 = 127,527 : x
  2. Step 2: Convert to fraction form
    99,324/127,527 = 127,527/x
  3. Step 3: Cross multiply
    99,324x = 127,527 × 127,527
  4. Step 4: Simplify right side
    99,324x = 16,263,135,729
  5. Step 5: Solve for x
    x = 16,263,135,729/99,324
  6. Step 6: Final answer
    x = 163,738.23

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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.