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Finding the Third Proportional to 63,830 and 97,473

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Solution

The third proportional to 63,830 and 97,473 is: 148,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,830 : 97,473 = 97,473 : x
  2. Step 2: Convert to fraction form
    63,830/97,473 = 97,473/x
  3. Step 3: Cross multiply
    63,830x = 97,473 × 97,473
  4. Step 4: Simplify right side
    63,830x = 9,500,985,729
  5. Step 5: Solve for x
    x = 9,500,985,729/63,830
  6. Step 6: Final answer
    x = 148,848.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.