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Finding the Third Proportional to 64,106 and 148,410.50

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Solution

The third proportional to 64,106 and 148,410.50 is: 343,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106 : 148,410.50 = 148,410.50 : x
  2. Step 2: Convert to fraction form
    64,106/148,410.50 = 148,410.50/x
  3. Step 3: Cross multiply
    64,106x = 148,410.50 × 148,410.50
  4. Step 4: Simplify right side
    64,106x = 22,025,676,510.25
  5. Step 5: Solve for x
    x = 22,025,676,510.25/64,106
  6. Step 6: Final answer
    x = 343,582.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.