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Finding the Third Proportional to 97,875 and 147,061.50

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Solution

The third proportional to 97,875 and 147,061.50 is: 220,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875 : 147,061.50 = 147,061.50 : x
  2. Step 2: Convert to fraction form
    97,875/147,061.50 = 147,061.50/x
  3. Step 3: Cross multiply
    97,875x = 147,061.50 × 147,061.50
  4. Step 4: Simplify right side
    97,875x = 21,627,084,782.25
  5. Step 5: Solve for x
    x = 21,627,084,782.25/97,875
  6. Step 6: Final answer
    x = 220,966.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.