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Finding the Third Proportional to 72,506 and 97,572

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Solution

The third proportional to 72,506 and 97,572 is: 131,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,506 : 97,572 = 97,572 : x
  2. Step 2: Convert to fraction form
    72,506/97,572 = 97,572/x
  3. Step 3: Cross multiply
    72,506x = 97,572 × 97,572
  4. Step 4: Simplify right side
    72,506x = 9,520,295,184
  5. Step 5: Solve for x
    x = 9,520,295,184/72,506
  6. Step 6: Final answer
    x = 131,303.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.