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Finding the Third Proportional to 93,260 and 145,473

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Solution

The third proportional to 93,260 and 145,473 is: 226,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,260 : 145,473 = 145,473 : x
  2. Step 2: Convert to fraction form
    93,260/145,473 = 145,473/x
  3. Step 3: Cross multiply
    93,260x = 145,473 × 145,473
  4. Step 4: Simplify right side
    93,260x = 21,162,393,729
  5. Step 5: Solve for x
    x = 21,162,393,729/93,260
  6. Step 6: Final answer
    x = 226,918.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.