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Finding the Third Proportional to 98,411 and 156,666

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Solution

The third proportional to 98,411 and 156,666 is: 249,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411 : 156,666 = 156,666 : x
  2. Step 2: Convert to fraction form
    98,411/156,666 = 156,666/x
  3. Step 3: Cross multiply
    98,411x = 156,666 × 156,666
  4. Step 4: Simplify right side
    98,411x = 24,544,235,556
  5. Step 5: Solve for x
    x = 24,544,235,556/98,411
  6. Step 6: Final answer
    x = 249,405.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.