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Finding the Third Proportional to 45,063 and 97,250.25

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Solution

The third proportional to 45,063 and 97,250.25 is: 209,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,063 : 97,250.25 = 97,250.25 : x
  2. Step 2: Convert to fraction form
    45,063/97,250.25 = 97,250.25/x
  3. Step 3: Cross multiply
    45,063x = 97,250.25 × 97,250.25
  4. Step 4: Simplify right side
    45,063x = 9,457,611,125.06
  5. Step 5: Solve for x
    x = 9,457,611,125.06/45,063
  6. Step 6: Final answer
    x = 209,875.31

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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.