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Finding the Third Proportional to 42,056 and 97,364

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Solution

The third proportional to 42,056 and 97,364 is: 225,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,056 : 97,364 = 97,364 : x
  2. Step 2: Convert to fraction form
    42,056/97,364 = 97,364/x
  3. Step 3: Cross multiply
    42,056x = 97,364 × 97,364
  4. Step 4: Simplify right side
    42,056x = 9,479,748,496
  5. Step 5: Solve for x
    x = 9,479,748,496/42,056
  6. Step 6: Final answer
    x = 225,407.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.