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Finding the Third Proportional to 93,585 and 143,992

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Solution

The third proportional to 93,585 and 143,992 is: 221,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,585 : 143,992 = 143,992 : x
  2. Step 2: Convert to fraction form
    93,585/143,992 = 143,992/x
  3. Step 3: Cross multiply
    93,585x = 143,992 × 143,992
  4. Step 4: Simplify right side
    93,585x = 20,733,696,064
  5. Step 5: Solve for x
    x = 20,733,696,064/93,585
  6. Step 6: Final answer
    x = 221,549.35

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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.