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Finding the Third Proportional to 145,630 and 195,572.50

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Solution

The third proportional to 145,630 and 195,572.50 is: 262,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,630 : 195,572.50 = 195,572.50 : x
  2. Step 2: Convert to fraction form
    145,630/195,572.50 = 195,572.50/x
  3. Step 3: Cross multiply
    145,630x = 195,572.50 × 195,572.50
  4. Step 4: Simplify right side
    145,630x = 38,248,602,756.25
  5. Step 5: Solve for x
    x = 38,248,602,756.25/145,630
  6. Step 6: Final answer
    x = 262,642.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.