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Finding the Third Proportional to 93,700 and 148,892

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Solution

The third proportional to 93,700 and 148,892 is: 236,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,700 : 148,892 = 148,892 : x
  2. Step 2: Convert to fraction form
    93,700/148,892 = 148,892/x
  3. Step 3: Cross multiply
    93,700x = 148,892 × 148,892
  4. Step 4: Simplify right side
    93,700x = 22,168,827,664
  5. Step 5: Solve for x
    x = 22,168,827,664/93,700
  6. Step 6: Final answer
    x = 236,593.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.