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Finding the Third Proportional to 136,875 and 183,090

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Solution

The third proportional to 136,875 and 183,090 is: 244,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,875 : 183,090 = 183,090 : x
  2. Step 2: Convert to fraction form
    136,875/183,090 = 183,090/x
  3. Step 3: Cross multiply
    136,875x = 183,090 × 183,090
  4. Step 4: Simplify right side
    136,875x = 33,521,948,100
  5. Step 5: Solve for x
    x = 33,521,948,100/136,875
  6. Step 6: Final answer
    x = 244,909.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.