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Finding the Third Proportional to 137,973.22 and 202,417.10

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Solution

The third proportional to 137,973.22 and 202,417.10 is: 296,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,973.22 : 202,417.10 = 202,417.10 : x
  2. Step 2: Convert to fraction form
    137,973.22/202,417.10 = 202,417.10/x
  3. Step 3: Cross multiply
    137,973.22x = 202,417.10 × 202,417.10
  4. Step 4: Simplify right side
    137,973.22x = 40,972,683,004.96
  5. Step 5: Solve for x
    x = 40,972,683,004.96/137,973.22
  6. Step 6: Final answer
    x = 296,961.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.