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Finding the Third Proportional to 137,582 and 183,460

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Solution

The third proportional to 137,582 and 183,460 is: 244,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,582 : 183,460 = 183,460 : x
  2. Step 2: Convert to fraction form
    137,582/183,460 = 183,460/x
  3. Step 3: Cross multiply
    137,582x = 183,460 × 183,460
  4. Step 4: Simplify right side
    137,582x = 33,657,571,600
  5. Step 5: Solve for x
    x = 33,657,571,600/137,582
  6. Step 6: Final answer
    x = 244,636.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.