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Finding the Third Proportional to 136,387 and 183,460

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Solution

The third proportional to 136,387 and 183,460 is: 246,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,387 : 183,460 = 183,460 : x
  2. Step 2: Convert to fraction form
    136,387/183,460 = 183,460/x
  3. Step 3: Cross multiply
    136,387x = 183,460 × 183,460
  4. Step 4: Simplify right side
    136,387x = 33,657,571,600
  5. Step 5: Solve for x
    x = 33,657,571,600/136,387
  6. Step 6: Final answer
    x = 246,779.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.