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Finding the Third Proportional to 79,875.10 and 170,970.67

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Solution

The third proportional to 79,875.10 and 170,970.67 is: 365,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,875.10 : 170,970.67 = 170,970.67 : x
  2. Step 2: Convert to fraction form
    79,875.10/170,970.67 = 170,970.67/x
  3. Step 3: Cross multiply
    79,875.10x = 170,970.67 × 170,970.67
  4. Step 4: Simplify right side
    79,875.10x = 29,230,970,307.46
  5. Step 5: Solve for x
    x = 29,230,970,307.46/79,875.10
  6. Step 6: Final answer
    x = 365,958.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.