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Finding the Third Proportional to 93,044 and 119,478

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Solution

The third proportional to 93,044 and 119,478 is: 153,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,044 : 119,478 = 119,478 : x
  2. Step 2: Convert to fraction form
    93,044/119,478 = 119,478/x
  3. Step 3: Cross multiply
    93,044x = 119,478 × 119,478
  4. Step 4: Simplify right side
    93,044x = 14,274,992,484
  5. Step 5: Solve for x
    x = 14,274,992,484/93,044
  6. Step 6: Final answer
    x = 153,421.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.