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Finding the Third Proportional to 65,146.50 and 141,328.13

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Solution

The third proportional to 65,146.50 and 141,328.13 is: 306,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.50 : 141,328.13 = 141,328.13 : x
  2. Step 2: Convert to fraction form
    65,146.50/141,328.13 = 141,328.13/x
  3. Step 3: Cross multiply
    65,146.50x = 141,328.13 × 141,328.13
  4. Step 4: Simplify right side
    65,146.50x = 19,973,638,916.02
  5. Step 5: Solve for x
    x = 19,973,638,916.02/65,146.50
  6. Step 6: Final answer
    x = 306,595.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.