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Finding the Third Proportional to 97,396 and 130,056

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Solution

The third proportional to 97,396 and 130,056 is: 173,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,396 : 130,056 = 130,056 : x
  2. Step 2: Convert to fraction form
    97,396/130,056 = 130,056/x
  3. Step 3: Cross multiply
    97,396x = 130,056 × 130,056
  4. Step 4: Simplify right side
    97,396x = 16,914,563,136
  5. Step 5: Solve for x
    x = 16,914,563,136/97,396
  6. Step 6: Final answer
    x = 173,667.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.