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Finding the Third Proportional to 92,880 and 153,667.13

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Solution

The third proportional to 92,880 and 153,667.13 is: 254,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,880 : 153,667.13 = 153,667.13 : x
  2. Step 2: Convert to fraction form
    92,880/153,667.13 = 153,667.13/x
  3. Step 3: Cross multiply
    92,880x = 153,667.13 × 153,667.13
  4. Step 4: Simplify right side
    92,880x = 23,613,585,305.77
  5. Step 5: Solve for x
    x = 23,613,585,305.77/92,880
  6. Step 6: Final answer
    x = 254,237.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.