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Finding the Third Proportional to 97,053 and 130,419

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Solution

The third proportional to 97,053 and 130,419 is: 175,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,053 : 130,419 = 130,419 : x
  2. Step 2: Convert to fraction form
    97,053/130,419 = 130,419/x
  3. Step 3: Cross multiply
    97,053x = 130,419 × 130,419
  4. Step 4: Simplify right side
    97,053x = 17,009,115,561
  5. Step 5: Solve for x
    x = 17,009,115,561/97,053
  6. Step 6: Final answer
    x = 175,255.95

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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.