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Finding the Third Proportional to 72,202 and 158,354

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Solution

The third proportional to 72,202 and 158,354 is: 347,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,202 : 158,354 = 158,354 : x
  2. Step 2: Convert to fraction form
    72,202/158,354 = 158,354/x
  3. Step 3: Cross multiply
    72,202x = 158,354 × 158,354
  4. Step 4: Simplify right side
    72,202x = 25,075,989,316
  5. Step 5: Solve for x
    x = 25,075,989,316/72,202
  6. Step 6: Final answer
    x = 347,303.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.