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Finding the Third Proportional to 162,064.13 and 176,595.75

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Solution

The third proportional to 162,064.13 and 176,595.75 is: 192,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,064.13 : 176,595.75 = 176,595.75 : x
  2. Step 2: Convert to fraction form
    162,064.13/176,595.75 = 176,595.75/x
  3. Step 3: Cross multiply
    162,064.13x = 176,595.75 × 176,595.75
  4. Step 4: Simplify right side
    162,064.13x = 31,186,058,918.06
  5. Step 5: Solve for x
    x = 31,186,058,918.06/162,064.13
  6. Step 6: Final answer
    x = 192,430.37

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.