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Finding the Third Proportional to 66,748 and 93,318

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Solution

The third proportional to 66,748 and 93,318 is: 130,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,748 : 93,318 = 93,318 : x
  2. Step 2: Convert to fraction form
    66,748/93,318 = 93,318/x
  3. Step 3: Cross multiply
    66,748x = 93,318 × 93,318
  4. Step 4: Simplify right side
    66,748x = 8,708,249,124
  5. Step 5: Solve for x
    x = 8,708,249,124/66,748
  6. Step 6: Final answer
    x = 130,464.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.