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Finding the Third Proportional to 66,506 and 97,278

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Solution

The third proportional to 66,506 and 97,278 is: 142,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506 : 97,278 = 97,278 : x
  2. Step 2: Convert to fraction form
    66,506/97,278 = 97,278/x
  3. Step 3: Cross multiply
    66,506x = 97,278 × 97,278
  4. Step 4: Simplify right side
    66,506x = 9,463,009,284
  5. Step 5: Solve for x
    x = 9,463,009,284/66,506
  6. Step 6: Final answer
    x = 142,288.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.