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Finding the Third Proportional to 64,210.22 and 102,261.23

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Solution

The third proportional to 64,210.22 and 102,261.23 is: 162,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,210.22 : 102,261.23 = 102,261.23 : x
  2. Step 2: Convert to fraction form
    64,210.22/102,261.23 = 102,261.23/x
  3. Step 3: Cross multiply
    64,210.22x = 102,261.23 × 102,261.23
  4. Step 4: Simplify right side
    64,210.22x = 10,457,360,055.90
  5. Step 5: Solve for x
    x = 10,457,360,055.90/64,210.22
  6. Step 6: Final answer
    x = 162,861.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.