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Finding the Third Proportional to 64,220.25 and 98,831.25

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Solution

The third proportional to 64,220.25 and 98,831.25 is: 152,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,220.25 : 98,831.25 = 98,831.25 : x
  2. Step 2: Convert to fraction form
    64,220.25/98,831.25 = 98,831.25/x
  3. Step 3: Cross multiply
    64,220.25x = 98,831.25 × 98,831.25
  4. Step 4: Simplify right side
    64,220.25x = 9,767,615,976.56
  5. Step 5: Solve for x
    x = 9,767,615,976.56/64,220.25
  6. Step 6: Final answer
    x = 152,095.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.