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Finding the Third Proportional to 74,025 and 97,189.50

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Solution

The third proportional to 74,025 and 97,189.50 is: 127,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,025 : 97,189.50 = 97,189.50 : x
  2. Step 2: Convert to fraction form
    74,025/97,189.50 = 97,189.50/x
  3. Step 3: Cross multiply
    74,025x = 97,189.50 × 97,189.50
  4. Step 4: Simplify right side
    74,025x = 9,445,798,910.25
  5. Step 5: Solve for x
    x = 9,445,798,910.25/74,025
  6. Step 6: Final answer
    x = 127,602.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.