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Finding the Third Proportional to 44,957.50 and 97,205

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Solution

The third proportional to 44,957.50 and 97,205 is: 210,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,957.50 : 97,205 = 97,205 : x
  2. Step 2: Convert to fraction form
    44,957.50/97,205 = 97,205/x
  3. Step 3: Cross multiply
    44,957.50x = 97,205 × 97,205
  4. Step 4: Simplify right side
    44,957.50x = 9,448,812,025
  5. Step 5: Solve for x
    x = 9,448,812,025/44,957.50
  6. Step 6: Final answer
    x = 210,172.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.