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Finding the Third Proportional to 78,004 and 168,461

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Solution

The third proportional to 78,004 and 168,461 is: 363,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004 : 168,461 = 168,461 : x
  2. Step 2: Convert to fraction form
    78,004/168,461 = 168,461/x
  3. Step 3: Cross multiply
    78,004x = 168,461 × 168,461
  4. Step 4: Simplify right side
    78,004x = 28,379,108,521
  5. Step 5: Solve for x
    x = 28,379,108,521/78,004
  6. Step 6: Final answer
    x = 363,816.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.