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Finding the Third Proportional to 94,095 and 201,069

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Solution

The third proportional to 94,095 and 201,069 is: 429,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,095 : 201,069 = 201,069 : x
  2. Step 2: Convert to fraction form
    94,095/201,069 = 201,069/x
  3. Step 3: Cross multiply
    94,095x = 201,069 × 201,069
  4. Step 4: Simplify right side
    94,095x = 40,428,742,761
  5. Step 5: Solve for x
    x = 40,428,742,761/94,095
  6. Step 6: Final answer
    x = 429,658.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.