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Finding the Third Proportional to 63,071 and 97,658

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Solution

The third proportional to 63,071 and 97,658 is: 151,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,071 : 97,658 = 97,658 : x
  2. Step 2: Convert to fraction form
    63,071/97,658 = 97,658/x
  3. Step 3: Cross multiply
    63,071x = 97,658 × 97,658
  4. Step 4: Simplify right side
    63,071x = 9,537,084,964
  5. Step 5: Solve for x
    x = 9,537,084,964/63,071
  6. Step 6: Final answer
    x = 151,211.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.