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Finding the Third Proportional to 93,574 and 143,831

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Solution

The third proportional to 93,574 and 143,831 is: 221,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,574 : 143,831 = 143,831 : x
  2. Step 2: Convert to fraction form
    93,574/143,831 = 143,831/x
  3. Step 3: Cross multiply
    93,574x = 143,831 × 143,831
  4. Step 4: Simplify right side
    93,574x = 20,687,356,561
  5. Step 5: Solve for x
    x = 20,687,356,561/93,574
  6. Step 6: Final answer
    x = 221,080.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.