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Finding the Third Proportional to 45,323 and 97,205

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Solution

The third proportional to 45,323 and 97,205 is: 208,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,323 : 97,205 = 97,205 : x
  2. Step 2: Convert to fraction form
    45,323/97,205 = 97,205/x
  3. Step 3: Cross multiply
    45,323x = 97,205 × 97,205
  4. Step 4: Simplify right side
    45,323x = 9,448,812,025
  5. Step 5: Solve for x
    x = 9,448,812,025/45,323
  6. Step 6: Final answer
    x = 208,477.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.