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Finding the Third Proportional to 68,225.63 and 97,390.69

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Solution

The third proportional to 68,225.63 and 97,390.69 is: 139,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,225.63 : 97,390.69 = 97,390.69 : x
  2. Step 2: Convert to fraction form
    68,225.63/97,390.69 = 97,390.69/x
  3. Step 3: Cross multiply
    68,225.63x = 97,390.69 × 97,390.69
  4. Step 4: Simplify right side
    68,225.63x = 9,484,946,011.72
  5. Step 5: Solve for x
    x = 9,484,946,011.72/68,225.63
  6. Step 6: Final answer
    x = 139,023.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.