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Finding the Third Proportional to 78,924 and 118,476

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Solution

The third proportional to 78,924 and 118,476 is: 177,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,924 : 118,476 = 118,476 : x
  2. Step 2: Convert to fraction form
    78,924/118,476 = 118,476/x
  3. Step 3: Cross multiply
    78,924x = 118,476 × 118,476
  4. Step 4: Simplify right side
    78,924x = 14,036,562,576
  5. Step 5: Solve for x
    x = 14,036,562,576/78,924
  6. Step 6: Final answer
    x = 177,849.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.