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Finding the Third Proportional to 65,748.38 and 143,798.63

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Solution

The third proportional to 65,748.38 and 143,798.63 is: 314,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748.38 : 143,798.63 = 143,798.63 : x
  2. Step 2: Convert to fraction form
    65,748.38/143,798.63 = 143,798.63/x
  3. Step 3: Cross multiply
    65,748.38x = 143,798.63 × 143,798.63
  4. Step 4: Simplify right side
    65,748.38x = 20,678,044,551.89
  5. Step 5: Solve for x
    x = 20,678,044,551.89/65,748.38
  6. Step 6: Final answer
    x = 314,502.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.