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Finding the Third Proportional to 60,782.63 and 97,661.25

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Solution

The third proportional to 60,782.63 and 97,661.25 is: 156,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,782.63 : 97,661.25 = 97,661.25 : x
  2. Step 2: Convert to fraction form
    60,782.63/97,661.25 = 97,661.25/x
  3. Step 3: Cross multiply
    60,782.63x = 97,661.25 × 97,661.25
  4. Step 4: Simplify right side
    60,782.63x = 9,537,719,751.56
  5. Step 5: Solve for x
    x = 9,537,719,751.56/60,782.63
  6. Step 6: Final answer
    x = 156,915.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.