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Finding the Third Proportional to 93,572 and 143,829

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Solution

The third proportional to 93,572 and 143,829 is: 221,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,572 : 143,829 = 143,829 : x
  2. Step 2: Convert to fraction form
    93,572/143,829 = 143,829/x
  3. Step 3: Cross multiply
    93,572x = 143,829 × 143,829
  4. Step 4: Simplify right side
    93,572x = 20,686,781,241
  5. Step 5: Solve for x
    x = 20,686,781,241/93,572
  6. Step 6: Final answer
    x = 221,078.75

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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.