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Finding the Third Proportional to 77,730 and 170,275.50

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Solution

The third proportional to 77,730 and 170,275.50 is: 373,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730 : 170,275.50 = 170,275.50 : x
  2. Step 2: Convert to fraction form
    77,730/170,275.50 = 170,275.50/x
  3. Step 3: Cross multiply
    77,730x = 170,275.50 × 170,275.50
  4. Step 4: Simplify right side
    77,730x = 28,993,745,900.25
  5. Step 5: Solve for x
    x = 28,993,745,900.25/77,730
  6. Step 6: Final answer
    x = 373,005.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.