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Finding the Third Proportional to 93,593 and 145,466

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Solution

The third proportional to 93,593 and 145,466 is: 226,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,593 : 145,466 = 145,466 : x
  2. Step 2: Convert to fraction form
    93,593/145,466 = 145,466/x
  3. Step 3: Cross multiply
    93,593x = 145,466 × 145,466
  4. Step 4: Simplify right side
    93,593x = 21,160,357,156
  5. Step 5: Solve for x
    x = 21,160,357,156/93,593
  6. Step 6: Final answer
    x = 226,089.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.