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Finding the Third Proportional to 61,425.84 and 97,670.81

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Solution

The third proportional to 61,425.84 and 97,670.81 is: 155,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,425.84 : 97,670.81 = 97,670.81 : x
  2. Step 2: Convert to fraction form
    61,425.84/97,670.81 = 97,670.81/x
  3. Step 3: Cross multiply
    61,425.84x = 97,670.81 × 97,670.81
  4. Step 4: Simplify right side
    61,425.84x = 9,539,587,614.41
  5. Step 5: Solve for x
    x = 9,539,587,614.41/61,425.84
  6. Step 6: Final answer
    x = 155,302.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.