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Finding the Third Proportional to 132,034 and 183,363

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Solution

The third proportional to 132,034 and 183,363 is: 254,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,034 : 183,363 = 183,363 : x
  2. Step 2: Convert to fraction form
    132,034/183,363 = 183,363/x
  3. Step 3: Cross multiply
    132,034x = 183,363 × 183,363
  4. Step 4: Simplify right side
    132,034x = 33,621,989,769
  5. Step 5: Solve for x
    x = 33,621,989,769/132,034
  6. Step 6: Final answer
    x = 254,646.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.