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Finding the Third Proportional to 93,549 and 142,658.25

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Solution

The third proportional to 93,549 and 142,658.25 is: 217,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,549 : 142,658.25 = 142,658.25 : x
  2. Step 2: Convert to fraction form
    93,549/142,658.25 = 142,658.25/x
  3. Step 3: Cross multiply
    93,549x = 142,658.25 × 142,658.25
  4. Step 4: Simplify right side
    93,549x = 20,351,376,293.06
  5. Step 5: Solve for x
    x = 20,351,376,293.06/93,549
  6. Step 6: Final answer
    x = 217,547.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.