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Finding the Third Proportional to 64,430 and 96,345

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Solution

The third proportional to 64,430 and 96,345 is: 144,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,430 : 96,345 = 96,345 : x
  2. Step 2: Convert to fraction form
    64,430/96,345 = 96,345/x
  3. Step 3: Cross multiply
    64,430x = 96,345 × 96,345
  4. Step 4: Simplify right side
    64,430x = 9,282,359,025
  5. Step 5: Solve for x
    x = 9,282,359,025/64,430
  6. Step 6: Final answer
    x = 144,068.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.