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Finding the Third Proportional to 70,748 and 153,160

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Solution

The third proportional to 70,748 and 153,160 is: 331,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,748 : 153,160 = 153,160 : x
  2. Step 2: Convert to fraction form
    70,748/153,160 = 153,160/x
  3. Step 3: Cross multiply
    70,748x = 153,160 × 153,160
  4. Step 4: Simplify right side
    70,748x = 23,457,985,600
  5. Step 5: Solve for x
    x = 23,457,985,600/70,748
  6. Step 6: Final answer
    x = 331,571.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.