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Finding the Third Proportional to 88,422 and 130,023

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Solution

The third proportional to 88,422 and 130,023 is: 191,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,422 : 130,023 = 130,023 : x
  2. Step 2: Convert to fraction form
    88,422/130,023 = 130,023/x
  3. Step 3: Cross multiply
    88,422x = 130,023 × 130,023
  4. Step 4: Simplify right side
    88,422x = 16,905,980,529
  5. Step 5: Solve for x
    x = 16,905,980,529/88,422
  6. Step 6: Final answer
    x = 191,196.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.