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Finding the Third Proportional to 102,752 and 150,572

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Solution

The third proportional to 102,752 and 150,572 is: 220,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,752 : 150,572 = 150,572 : x
  2. Step 2: Convert to fraction form
    102,752/150,572 = 150,572/x
  3. Step 3: Cross multiply
    102,752x = 150,572 × 150,572
  4. Step 4: Simplify right side
    102,752x = 22,671,927,184
  5. Step 5: Solve for x
    x = 22,671,927,184/102,752
  6. Step 6: Final answer
    x = 220,647.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.