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Finding the Third Proportional to 64,807 and 87,095

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Solution

The third proportional to 64,807 and 87,095 is: 117,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,807 : 87,095 = 87,095 : x
  2. Step 2: Convert to fraction form
    64,807/87,095 = 87,095/x
  3. Step 3: Cross multiply
    64,807x = 87,095 × 87,095
  4. Step 4: Simplify right side
    64,807x = 7,585,539,025
  5. Step 5: Solve for x
    x = 7,585,539,025/64,807
  6. Step 6: Final answer
    x = 117,048.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.