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Finding the Third Proportional to 128,036 and 183,792

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Solution

The third proportional to 128,036 and 183,792 is: 263,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,036 : 183,792 = 183,792 : x
  2. Step 2: Convert to fraction form
    128,036/183,792 = 183,792/x
  3. Step 3: Cross multiply
    128,036x = 183,792 × 183,792
  4. Step 4: Simplify right side
    128,036x = 33,779,499,264
  5. Step 5: Solve for x
    x = 33,779,499,264/128,036
  6. Step 6: Final answer
    x = 263,828.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.