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Finding the Third Proportional to 97,394 and 130,053

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Solution

The third proportional to 97,394 and 130,053 is: 173,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394 : 130,053 = 130,053 : x
  2. Step 2: Convert to fraction form
    97,394/130,053 = 130,053/x
  3. Step 3: Cross multiply
    97,394x = 130,053 × 130,053
  4. Step 4: Simplify right side
    97,394x = 16,913,782,809
  5. Step 5: Solve for x
    x = 16,913,782,809/97,394
  6. Step 6: Final answer
    x = 173,663.50

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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.