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Finding the Third Proportional to 73,053 and 116,703.75

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Solution

The third proportional to 73,053 and 116,703.75 is: 186,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,053 : 116,703.75 = 116,703.75 : x
  2. Step 2: Convert to fraction form
    73,053/116,703.75 = 116,703.75/x
  3. Step 3: Cross multiply
    73,053x = 116,703.75 × 116,703.75
  4. Step 4: Simplify right side
    73,053x = 13,619,765,264.06
  5. Step 5: Solve for x
    x = 13,619,765,264.06/73,053
  6. Step 6: Final answer
    x = 186,436.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.