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Finding the Third Proportional to 53,438.63 and 84,614.06

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Solution

The third proportional to 53,438.63 and 84,614.06 is: 133,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,438.63 : 84,614.06 = 84,614.06 : x
  2. Step 2: Convert to fraction form
    53,438.63/84,614.06 = 84,614.06/x
  3. Step 3: Cross multiply
    53,438.63x = 84,614.06 × 84,614.06
  4. Step 4: Simplify right side
    53,438.63x = 7,159,539,572.75
  5. Step 5: Solve for x
    x = 7,159,539,572.75/53,438.63
  6. Step 6: Final answer
    x = 133,976.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.