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Finding the Third Proportional to 58,038 and 92,243

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Solution

The third proportional to 58,038 and 92,243 is: 146,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,038 : 92,243 = 92,243 : x
  2. Step 2: Convert to fraction form
    58,038/92,243 = 92,243/x
  3. Step 3: Cross multiply
    58,038x = 92,243 × 92,243
  4. Step 4: Simplify right side
    58,038x = 8,508,771,049
  5. Step 5: Solve for x
    x = 8,508,771,049/58,038
  6. Step 6: Final answer
    x = 146,606.90

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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.