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Finding the Third Proportional to 94,430 and 138,243

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Solution

The third proportional to 94,430 and 138,243 is: 202,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,430 : 138,243 = 138,243 : x
  2. Step 2: Convert to fraction form
    94,430/138,243 = 138,243/x
  3. Step 3: Cross multiply
    94,430x = 138,243 × 138,243
  4. Step 4: Simplify right side
    94,430x = 19,111,127,049
  5. Step 5: Solve for x
    x = 19,111,127,049/94,430
  6. Step 6: Final answer
    x = 202,384.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.