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Finding the Third Proportional to 74,025 and 105,501.56

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Solution

The third proportional to 74,025 and 105,501.56 is: 150,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,025 : 105,501.56 = 105,501.56 : x
  2. Step 2: Convert to fraction form
    74,025/105,501.56 = 105,501.56/x
  3. Step 3: Cross multiply
    74,025x = 105,501.56 × 105,501.56
  4. Step 4: Simplify right side
    74,025x = 11,130,579,689.94
  5. Step 5: Solve for x
    x = 11,130,579,689.94/74,025
  6. Step 6: Final answer
    x = 150,362.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.