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Finding the Third Proportional to 120,700 and 177,352.50

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Solution

The third proportional to 120,700 and 177,352.50 is: 260,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,700 : 177,352.50 = 177,352.50 : x
  2. Step 2: Convert to fraction form
    120,700/177,352.50 = 177,352.50/x
  3. Step 3: Cross multiply
    120,700x = 177,352.50 × 177,352.50
  4. Step 4: Simplify right side
    120,700x = 31,453,909,256.25
  5. Step 5: Solve for x
    x = 31,453,909,256.25/120,700
  6. Step 6: Final answer
    x = 260,595.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.