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Finding the Third Proportional to 65,973.23 and 141,288.05

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Solution

The third proportional to 65,973.23 and 141,288.05 is: 302,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,973.23 : 141,288.05 = 141,288.05 : x
  2. Step 2: Convert to fraction form
    65,973.23/141,288.05 = 141,288.05/x
  3. Step 3: Cross multiply
    65,973.23x = 141,288.05 × 141,288.05
  4. Step 4: Simplify right side
    65,973.23x = 19,962,312,189.75
  5. Step 5: Solve for x
    x = 19,962,312,189.75/65,973.23
  6. Step 6: Final answer
    x = 302,581.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.