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Finding the Third Proportional to 70,572 and 109,746

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Solution

The third proportional to 70,572 and 109,746 is: 170,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,572 : 109,746 = 109,746 : x
  2. Step 2: Convert to fraction form
    70,572/109,746 = 109,746/x
  3. Step 3: Cross multiply
    70,572x = 109,746 × 109,746
  4. Step 4: Simplify right side
    70,572x = 12,044,184,516
  5. Step 5: Solve for x
    x = 12,044,184,516/70,572
  6. Step 6: Final answer
    x = 170,665.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.