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Finding the Third Proportional to 74,582 and 157,804

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Solution

The third proportional to 74,582 and 157,804 is: 333,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,582 : 157,804 = 157,804 : x
  2. Step 2: Convert to fraction form
    74,582/157,804 = 157,804/x
  3. Step 3: Cross multiply
    74,582x = 157,804 × 157,804
  4. Step 4: Simplify right side
    74,582x = 24,902,102,416
  5. Step 5: Solve for x
    x = 24,902,102,416/74,582
  6. Step 6: Final answer
    x = 333,888.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.