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Finding the Third Proportional to 64,050 and 148,897

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Solution

The third proportional to 64,050 and 148,897 is: 346,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050 : 148,897 = 148,897 : x
  2. Step 2: Convert to fraction form
    64,050/148,897 = 148,897/x
  3. Step 3: Cross multiply
    64,050x = 148,897 × 148,897
  4. Step 4: Simplify right side
    64,050x = 22,170,316,609
  5. Step 5: Solve for x
    x = 22,170,316,609/64,050
  6. Step 6: Final answer
    x = 346,140.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.